a^2bc+ab^2c+abc^2=0

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Solution for a^2bc+ab^2c+abc^2=0 equation:


Simplifying
a2bc + ab2c + abc2 = 0

Reorder the terms:
abc2 + ab2c + a2bc = 0

Solving
abc2 + ab2c + a2bc = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'abc'.
abc(c + b + a) = 0

Subproblem 1

Set the factor 'abc' equal to zero and attempt to solve: Simplifying abc = 0 Solving abc = 0 Move all terms containing a to the left, all other terms to the right. Simplifying abc = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(c + b + a)' equal to zero and attempt to solve: Simplifying c + b + a = 0 Reorder the terms: a + b + c = 0 Solving a + b + c = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. a + b + -1b + c = 0 + -1b Combine like terms: b + -1b = 0 a + 0 + c = 0 + -1b a + c = 0 + -1b Remove the zero: a + c = -1b Add '-1c' to each side of the equation. a + c + -1c = -1b + -1c Combine like terms: c + -1c = 0 a + 0 = -1b + -1c a = -1b + -1c Simplifying a = -1b + -1c

Solution

a = {-1b + -1c}

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